Zero-Knowledge Protocols for NTRU: Application to Identification and Proof of Plaintext Knowledge

  • Authors:
  • Keita Xagawa;Keisuke Tanaka

  • Affiliations:
  • Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japan 152-8552;Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japan 152-8552

  • Venue:
  • ProvSec '09 Proceedings of the 3rd International Conference on Provable Security
  • Year:
  • 2009

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Abstract

We propose zero-knowledge and proof-of-knowledge protocols for NTRU. One is for the relation on secret-key knowledge and the other for that on plaintext knowledge. They are the first non-trivial constructions of these protocols for NTRU. Additionally, the former directly yields an identification scheme based on NTRU.